Fuzzy Clustering Considering Weights of Variables

Abstract

This paper proposes a fuzzy clustering method considering weights of variable-based dissimilarities over objects. In order to estimate the weights, we propose two methods. One is a method in which we directly use conventional fuzzy clustering for the variable-based dissimilarity data. The other is to use a new objective function. Exploiting the weights into the conventional dissimilarity, we define a dissimilarity assigned with the significance of each variable for the classification and implement a fuzzy clustering method under the intrinsically weighted classification structure of data.